Re: Orthogonalization of polynomial

Hi BobP, and thanks for the help.

I don't see why does it matter if I take , or , .
both , and , spans the same vector space, so if a vector is orthogonal to , , it will be orthogonal to , as well.
nevertheless, I tried to take instead, and this is what I get:

Re: Orthogonalization of polynomial

The formula that you have for comes from the assumption that
To calculate the coefficient (for example) you take the inner product of this equation with
That gets you
from which
That doesn't happen if you use rather than since are not orthogonal.